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2 years ago

5

Write the trig ratios based on E

1 answer:

lidiya [134]2 years ago

8 0

Answer:

\

Step-by-step explanation:

You might be interested in

5/6*2/3<br> 9/10*5/18<br> 4/5*3/4<br> 2/3*5/1

zalisa [80]

To multiply fractions, you multiply numerator with numerator and denominator with denominator

In other words: a/b*c/d=(a*c)/(b*d)

So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified

2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified

3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified

4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number

Hope this helped!

5 0

3 years ago

Read 2 more answers

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

3 0

2 years ago

(DESPERATE PLEASE HURRY)<br> question down below<br> please show the work

zubka84 [21]

Answer:

v= -12

Step-by-step explanation:

v= -12

v = -29+17

v= -12

3 0

1 year ago

Read 2 more answers

What is the surface area of the square pyramid? <br><br> The surface area is ____ yd2.

lana [24]

Base Surface Area = 22

= 4 yards^2

Lateral Surface Area =

2×2√(2/2)^2 + 3^2

2

= 12.649110640674 yards^2

Total Surface Area = 16.649110640674 yards^2

Your Answer: 16.60 rounded to the nearest tenth.

7 0

3 years ago

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{30 POINTS} The scatter plot below shows the profit earned each month by a new company over the first year of operation. The own

tekilochka [14]

We are given with the best fit line
<span>y = 2,500x - 2,500

The y-intercept is -2500
and the slope is 2500

This line can be translated into the following statements:
At the start of the operations, there is a negative profit of -2500. Each year, the profit increases by 2500</span><span />

6 0

3 years ago

Read 2 more answers